The space of embedded minimal surfaces of fixed genus in a 3-manifold. IV: Locally simply connected
From MaRDI portal
Publication:1772464
DOI10.4007/annals.2004.160.573zbMath1076.53069arXivmath/0210119OpenAlexW2072612720WikidataQ60191648 ScholiaQ60191648MaRDI QIDQ1772464
William P. II. Minicozzi, Tobias Holck Colding
Publication date: 18 April 2005
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0210119
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Spaces of embeddings and immersions (58D10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12)
Related Items
On De Giorgi's conjecture: recent progress and open problems, The singular set of mean curvature flow with generic singularities, Existence of minimal surfaces of arbitrarily large Morse index, Self-shrinkers with a rotational symmetry, Compactness and generic finiteness for free boundary minimal hypersurfaces. I, Compactness of self-shrinkers in \(\mathbb{R}^3\) with fixed genus, On the genus and area of constant mean curvature surfaces with bounded index, Chord arc properties for constant mean curvature disks, Characterizing classical minimal surfaces via the entropy differential, Mean curvature flow with free boundary in embedded cylinders or cones and uniqueness results for minimal hypersurfaces, A minimal lamination of the unit ball with singularities along a line segment, Structure theorems for singular minimal laminations, Minimal surfaces in Euclidean spaces by way of complex analysis, Generic mean curvature flow. I: Generic singularities, Evolution of form and shape, Inequivalent complexity criteria for free boundary minimal surfaces, Morse index, Betti numbers, and singular set of bounded area minimal hypersurfaces, Contractible 3-manifolds and positive scalar curvature. II, Minimal immersions of closed surfaces in hyperbolic three-manifolds, Three circles theorems for Schrödinger operators on cylindrical ends and geometric applications, Shapes of embedded minimal surfaces, A minimal lamination with Cantor set-like singularities, The space of embedded minimal surfaces of fixed genus in a 3-manifold. V. Fixed genus, Bending the helicoid, Limit lamination theorems for \(H\)-surfaces, Embedded minimal surfaces of finite topology, Distortions of the helicoid, Generalizations of the Choe-Hoppe helicoid and Clifford cones in Euclidean space, Properly embedded minimal planar domains, Regularity of the singular set in the Colding-Minicozzi lamination theorem, The geometry of minimal surfaces of finite genus. II: Nonexistence of one limit end examples, The minimal lamination closure theorem, Hyperbolic manifolds containing high topological index surfaces, Helicoid-like minimal disks and uniqueness, The space of compact self-shrinking solutions to the Lagrangian mean curvature flow in \(\mathbb{C}^2\), Curvature estimates for constant mean curvature surfaces, On the topology of surfaces with the generalised simple lift property, Embedded minimal disks with prescribed curvature blowup, Non-proper helicoid-like limits of closed minimal surfaces in 3-manifolds, Curvature estimates for stable free boundary minimal hypersurfaces, Limit lamination theorem for H-disks, The embedded Calabi-Yau conjecture for finite genus, Extending an example by Colding and Minicozzi, On the uniqueness of the helicoid and Enneper’s surface in the Lorentz-Minkowski space $\mathbb \{R\}\textunderscore \{1\}^\{3\}$, Plateau’s Problem, The classical theory of minimal surfaces, The rigidity of embedded constant mean curvature surfaces, Curvature estimates for surfaces with bounded mean curvature, Multi-valued graphs in embedded constant mean curvature disks
